IP Maths Notes (Lower Sec, Year 1-2): 08) Trigonometry in Right Triangles

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23 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP Maths Notes (Lower Sec, Year 1-2): 08) Trigonometry in Right Triangles cover?
A: Apply sine, cosine, and tangent to height-distance problems, bearings, and angles of elevation with calculator and non-calculator techniques.

Trigonometry unlocks height and distance tasks across science and geography contexts. Become fluent with ratios, inverse functions, and diagram interpretation.

These notes align with MOE Lower Secondary Mathematics syllabus used in IP pathways (aligned to O-Level Mathematics 4048 foundations).

Status: MOE Lower Secondary Mathematics syllabus (latest release) checked 2025-11-30 - scope unchanged; remains the reference for these lower-sec notes.

Learning targets

Recall primary trigonometric ratios: $\sin \theta = \frac{\text{opp}}{\text{hyp}}$ , $\cos \theta = \frac{\text{adj}}{\text{hyp}}$

IP Maths Notes (Lower Sec, Year 1-2): 08) Trigonometry in Right Triangles

Learning targets

1. Ratio recap

Worked example - Finding a side

Worked example - Finding an angle

2. Exact values and surds

3. Angle of elevation/depression

Worked example - Two-point observation

4. Bearings and composite paths

Preview: sine and cosine rules

Practice Quiz

Try it yourself

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